US Senator Ted Cruz has accused the head of America's broadcast regulator of acting like 'a mafioso' in the suspension of late-night host Jimmy Kimmel - the sharpest attack yet from a conservative Republican on the controversy.

He said Federal Communications Commission (FCC) chairman Brendan Carr's threat to ABC over their comedian's monologue about slain conservative influencer Charlie Kirk was 'dangerous as hell'.

'That's right out of Goodfellas,' the Texas Republican said, as he affected a mobster's accent.

Other Republicans in Congress have been more muted in their criticism of how the FCC pressed Disney-owned ABC to take action on Kimmel, who was indefinitely suspended on Wednesday.

The row started after Kimmel appeared to suggest in his monologue on Monday night that the alleged gunman charged with murdering Kirk was a Maga Republican, although authorities in Utah have said the suspect was 'indoctrinated with leftist ideology'.

Before ABC's decision, Carr said there would be consequences if Kimmel stayed on air, stating that Kimmel was 'appearing to directly mislead the American public' in his on-air remarks.

On his podcast Verdict with Ted Cruz, the senator emphasized that he hated what Kimmel said about Kirk, and he is 'thrilled that he was fired', adding that Carr was 'a good guy'. However, he warned that if the government gets into the business of bans and regulating what the media says, 'that will end up bad for conservatives'.

In the Oval Office on Friday, President Donald Trump defended Carr and said 'I disagree with Ted Cruz', who is ordinarily one of his staunchest allies. Another Republican Senator, Thom Tillis of North Carolina, told reporters that Cruz was 'absolutely right' in his criticism of Carr.

Cruz further elaborated, explaining Carr's threats were akin to a 'mafioso coming into a bar going, nice bar you have here, it'd be a shame if something happened to it.'

As tensions grow over Kimmel's suspension, the Senate passed a resolution to designate 14 October - Kirk's birthday - as a day of remembrance for him, highlighting the ongoing political and cultural ramifications surrounding his death.